Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.util.*;
import java.math.*;
import java.io.*;
import java.text.*;

public class A{
static class Node{
	int x;
	int id;
	public Node(int x,int id) {
		this.id=id;
		this.x=x;
	}
}
//public static PrintWriter pw; 	
public static PrintWriter pw=new PrintWriter(System.out);
public static void solve() throws IOException{
//	pw=new PrintWriter(new FileWriter("C:\\Users\\shree\\Downloads\\small_output_in"));
	FastReader sc=new FastReader();
	double n=sc.D();
	double h=sc.D();
	for(long i=1;i<n;i++) {
		pw.print((h*Math.sqrt((double)i/n))+" " );
	}
	 pw.close(); 
	
	
}
static void rev(char s[]) {
	int i=0,j=s.length-1;
	while(i<j) {
		char ch=s[i];
		s[i]=s[j];
		s[j]=ch;
		i++; j--;
	}
}

public static void main(String[] args)  {
    new Thread(null ,new Runnable(){
      public void run(){
          try{
          
              solve();
          } catch(Exception e){
              e.printStackTrace();
          }
      }
  },"1",1<<26).start();
 
}

static long M=(long)Math.pow(10,9)+7;
 
	static class FastReader {
        BufferedReader br;
        StringTokenizer st;
 
        public FastReader() throws FileNotFoundException{
            //br=new BufferedReader(new FileReader("C:\\Users\\shree\\Downloads\\B-small-practice.in"));	
        	 br = new BufferedReader(new InputStreamReader(System.in));
        		
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
       
        int I(){   return Integer.parseInt(next()); }
        long L(){  return Long.parseLong(next()); }
        double D() {  return Double.parseDouble(next()); }
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
     }
}